Introduction
Trying to calculate housing stress using 30/40 as in here: https://www.ahuri.edu.au/policy/ahuri-briefs/2016/3040-indicator
2016 Census - Counting Dwellings, Place of Enumeration (SA2)
Data Source: Census of Population and Housing, 2016, TableBuilder
Counting: Dwellings Location on Census Night
Variables:
- HIED Equivalised Total Household Income (weekly)
- RNTRD Rent (weekly) Ranges
- MRERD Mortgage Repayments (monthly) Ranges
library(tidyverse)
library(readxl)
library(sf)
library(tmap)
library(janitor)
library(scales)
Importing the raw data
##original files - 2016 census data - csv string - zeros suppressed
rentdata <- read_excel("sa2_data.xlsx", sheet = "sa2_hied_rntrd_2gmel_ zeros_sup", range = "A11:F49106") %>%
filter(GCCSA == "Greater Melbourne")
mortdata <- read_excel("sa2_data.xlsx", sheet = "sa2_hied_mrerd_2gmel_ zeros_sup", range = "A11:F59708") %>%
filter(GCCSA == "Greater Melbourne")
Midpoints for income
hhincwk_mid <- rentdata %>%
rename(sa2 = SA2) %>%
rename(hhincwk = `HIED Equivalised Total Household Income (weekly)`) %>%
mutate(hhincwk = as_factor(hhincwk)) %>%
distinct(hhincwk) %>%
filter(!hhincwk %in% c('Nil income', 'Partial income stated', 'All incomes not stated', 'Not applicable', 'Total')) %>%
mutate(inc_low = c(1, 150, 300, 400, 500, 650, 800, 1000, 1250, 1500, 1750, 2000, 2500, 3000)) %>%
mutate(inc_high = c(149, 299, 399, 499, 649, 799, 999, 1249, 1499, 1749, 1999, 2499, 2999, 3499)) %>%
mutate(inc_mid = (inc_low+inc_high)/2) %>%
select(hhincwk, inc_mid)
hhincwk_mid
Filter to include only bottom 40 per cent of households by income
Equivalised disposable household income - P40 = $714 in 2015-16 for VIC - http://www.abs.gov.au/AUSSTATS/abs@.nsf/DetailsPage/6523.02015-16?OpenDocument
hhincwk_mid40 <- hhincwk_mid %>%
filter(inc_mid <= 714)
hhincwk_mid40
Midpoints for rent and mortgages
rentwk_mid <- rentdata %>%
rename(rentwk = `RNTRD Rent (weekly) Ranges`) %>%
distinct(rentwk) %>%
mutate(rentwk = as_factor(rentwk)) %>%
filter(!rentwk %in% c('Not stated', 'Not applicable', 'Total' )) %>%
mutate(rent_low = c(0, 1, 75, 100, 125, 150, 175, 200, 225, 250, 275, 300, 325, 350, 375, 400, 425, 450, 550, 650, 750, 850, 950)) %>%
mutate(rent_high = c(0, 74, 99, 124, 149, 174, 199, 224, 249, 274, 299, 324, 349, 374, 399, 424, 449, 549, 649, 749, 849, 949, 1050)) %>%
mutate(rent_mid = (rent_low + rent_high)/2) %>%
select(rentwk, rent_mid)
rentwk_mid
mortwk_mid <- mortdata %>%
rename(mortmth = `MRERD Mortgage Repayments (monthly) Ranges`) %>%
distinct(mortmth) %>%
mutate(mortmth = as_factor(mortmth)) %>%
filter(!mortmth %in% c('Not stated', 'Not applicable')) %>%
mutate(mort_low = c(0, 1, 150, 300, 450, 600, 800, 1000, 1200, 1400, 1600, 1800, 2000, 2200, 2400, 2600, 3000, 4000, 5000)) %>%
mutate(mortwk_low = mort_low/4) %>%
mutate(mort_high = c(0, 149, 299, 449, 599, 799, 999, 1199, 1399, 1599, 1799, 1999, 2199, 2399, 2599, 2999, 3999, 4999, 5999)) %>%
mutate(mortwk_high = mort_high/4) %>%
mutate(mort_mid = (mort_low + mort_high)/2) %>%
mutate(mortwk_mid = (mortwk_low + mortwk_high)/2) %>%
select(mortmth, mort_mid, mortwk_mid)
mortwk_mid
Joining
#joining the data ####
rent_join <- left_join(hhincwk_mid40, rent_hh)
Joining, by = "hhincwk"
rent_join <- left_join(rent_join, rentwk_mid)
Joining, by = "rentwk"
rent_join
mort_join <- left_join(hhincwk_mid40, mort_hh)
Joining, by = "hhincwk"
mort_join <- left_join(mort_join, mortwk_mid)
Joining, by = "mortmth"
mort_join
Stress
rentalstress <- rent_join %>%
mutate(prophousing = rent_mid/inc_mid) %>%
mutate(hstress = ifelse(prophousing <= 0.3, 0, hh)) %>%
group_by(sa2) %>%
summarise(lowinc_hh = sum(hh), hstress = sum(hstress))
rentalstress <- left_join(rentalstress, rent_dw, by = "sa2") %>%
select(sa2, dw, lowinc_hh, hstress) %>%
mutate(propstress = hstress/dw)
rentalstress
mortgagestress <- mort_join %>%
mutate(prophousing = mortwk_mid/inc_mid) %>%
mutate(hstress = ifelse(prophousing <= 0.3, 0, hh)) %>%
group_by(sa2) %>%
summarise(lowinc_hh = sum(hh), hstress = sum(hstress))
mortgagestress <- left_join(mortgagestress, mort_dw, by = "sa2") %>%
select(sa2, dw, lowinc_hh, hstress) %>%
mutate(propstress = hstress/dw)
mortgagestress
housingstress_join <- full_join(rentalstress, mortgagestress)
Joining, by = c("sa2", "dw", "lowinc_hh", "hstress", "propstress")
housingstress_sa2 <- housingstress_join %>%
group_by(sa2) %>%
summarise(dw = sum(dw), lowinc_hh = sum(lowinc_hh), hstress = sum(hstress)) %>%
mutate(prop_stress = hstress/dw) %>%
filter(!is.na(prop_stress))
housingstress_sa2
write_csv(housingstress_sa2, "tables_out/housingstress_sa2.csv")
What does it look like?
Most of the SA2s have fewer than 30 per cent of households in housing stress.
ggplot(housingstress_sa2, aes(x = prop_stress)) +
geom_histogram(bins = 50)

The shapefile
gm_shp <- st_read("shp/SA2_2016_GMEL.shp") %>%
clean_names() %>%
select(sa2_name16) %>%
left_join(housingstress_sa2, by = c("sa2_name16" = "sa2")) %>%
mutate(prop_stress = round(prop_stress, 2))
Reading layer `SA2_2016_GMEL' from data source `C:\Users\willi\Desktop\R\HousingAffordabilityData_2016Census\shp\SA2_2016_GMEL.shp' using driver `ESRI Shapefile'
Simple feature collection with 309 features and 12 fields
geometry type: MULTIPOLYGON
dimension: XY
bbox: xmin: 144.3336 ymin: -38.50299 xmax: 145.8784 ymax: -37.1751
epsg (SRID): NA
proj4string: +proj=longlat +ellps=GRS80 +no_defs
Column `sa2_name16`/`sa2` joining factor and character vector, coercing into character vector
The map
Concentrations in the growth areas.
tmap_mode("view")
tmap mode set to interactive viewing
tm_shape(gm_shp) +
tm_polygons("prop_stress")
---
title: "Housing Stress - SA2s in Greater Melbourne"
output: html_notebook
---

#Introduction

Trying to calculate housing stress using 30/40 as in here:  https://www.ahuri.edu.au/policy/ahuri-briefs/2016/3040-indicator 

2016 Census - Counting Dwellings, Place of Enumeration (SA2)

Data Source: Census of Population and Housing, 2016, TableBuilder

Counting: Dwellings Location on Census Night

Variables:

* HIED Equivalised Total Household Income (weekly)
* RNTRD Rent (weekly) Ranges
* MRERD Mortgage Repayments (monthly) Ranges

```{r, warning=FALSE, message = FALSE}
library(tidyverse)
library(readxl)
library(sf)
library(tmap)
library(janitor)
library(scales)
```

##Importing the raw data

```{r}
##original files - 2016 census data - csv string - zeros suppressed
rentdata <- read_excel("sa2_data.xlsx", sheet = "sa2_hied_rntrd_2gmel_ zeros_sup", range = "A11:F49106") %>% 
  filter(GCCSA == "Greater Melbourne") 

mortdata <- read_excel("sa2_data.xlsx", sheet = "sa2_hied_mrerd_2gmel_ zeros_sup", range = "A11:F59708") %>% 
  filter(GCCSA == "Greater Melbourne")
```

##Transforming the rent data

```{r}
rent <- rentdata %>% 
  rename(sa2 = SA2) %>% 
  rename(hhincwk = `HIED Equivalised Total Household Income (weekly)`) %>% 
  rename(rentwk = `RNTRD Rent (weekly) Ranges`) %>% 
  mutate(hhincwk = as_factor(hhincwk), rentwk = as_factor(rentwk)) %>% 
  rename(hh = Count) %>% 
  select(-Counting)
rent

rent_dw <- rent %>%
  filter(hhincwk != 'Not applicable') %>% 
  filter(rentwk != 'Not applicable') %>% 
  group_by(sa2) %>% 
  summarise(dw = sum(hh)) 
rent_dw #improve this by just getting the dwelling data from the datapacks and joining them on at the end -G32

rent_hh <- rent %>% 
  filter(!hhincwk %in% c('Nil income', 'Partial income stated', 'All incomes not stated', 'Not applicable')) %>% 
  filter(!rentwk %in% c('Not stated', 'Not applicable' ))
rent_hh
```

##Transforming the mortgage data

```{r}
mort <- mortdata %>% 
  rename(sa2 = SA2) %>% 
  rename(hhincwk = `HIED Equivalised Total Household Income (weekly)`) %>% 
  rename(mortmth = `MRERD Mortgage Repayments (monthly) Ranges`) %>% 
  mutate(hhincwk = as_factor(hhincwk), mortmth = as_factor(mortmth)) %>% 
  rename(hh = Count) %>% 
  select(-Counting)
mort

mort_dw <- mort %>% 
  filter(hhincwk != 'Not applicable') %>% 
  filter(mortmth != 'Not applicable') %>% 
  group_by(sa2) %>% 
  summarise(dw = sum(hh)) 
mort_dw #as noted above

mort_hh <- mort %>% 
  filter(!hhincwk %in% c('Nil income', 'Partial income stated', 'All incomes not stated', 'Not applicable')) %>% 
  filter(!mortmth %in% c('Not stated', 'Not applicable'))
mort_hh
```

##Midpoints for income

```{r}
hhincwk_mid <- rentdata %>% 
  rename(sa2 = SA2) %>% 
  rename(hhincwk = `HIED Equivalised Total Household Income (weekly)`) %>% 
  mutate(hhincwk = as_factor(hhincwk)) %>% 
  distinct(hhincwk) %>% 
  filter(!hhincwk %in% c('Nil income', 'Partial income stated', 'All incomes not stated', 'Not applicable', 'Total')) %>% 
  mutate(inc_low = c(1, 150, 300, 400, 500, 650, 800, 1000, 1250, 1500, 1750, 2000, 2500, 3000)) %>% 
  mutate(inc_high = c(149, 299, 399, 499, 649, 799, 999, 1249, 1499, 1749, 1999, 2499, 2999, 3499)) %>% 
  mutate(inc_mid = (inc_low+inc_high)/2) %>% 
  select(hhincwk, inc_mid)
hhincwk_mid 
```

Filter to include only bottom 40 per cent of households by income

Equivalised disposable household income - P40 = $714  in 2015-16 for VIC - http://www.abs.gov.au/AUSSTATS/abs@.nsf/DetailsPage/6523.02015-16?OpenDocument

```{r}
hhincwk_mid40 <- hhincwk_mid %>% 
  filter(inc_mid <= 714)
hhincwk_mid40
```

##Midpoints for rent and mortgages

```{r}
rentwk_mid <- rentdata %>% 
  rename(rentwk = `RNTRD Rent (weekly) Ranges`) %>% 
  distinct(rentwk) %>% 
  mutate(rentwk = as_factor(rentwk)) %>% 
  filter(!rentwk %in% c('Not stated', 'Not applicable', 'Total' )) %>% 
  mutate(rent_low = c(0, 1, 75, 100, 125, 150, 175, 200, 225, 250, 275, 300, 325, 350, 375, 400, 425, 450, 550, 650, 750, 850, 950)) %>% 
  mutate(rent_high = c(0, 74, 99, 124, 149, 174, 199, 224, 249, 274, 299, 324, 349, 374, 399, 424, 449, 549, 649, 749, 849, 949, 1050)) %>% 
  mutate(rent_mid = (rent_low + rent_high)/2) %>% 
  select(rentwk, rent_mid)
rentwk_mid

mortwk_mid <- mortdata %>% 
  rename(mortmth = `MRERD Mortgage Repayments (monthly) Ranges`) %>% 
  distinct(mortmth) %>% 
  mutate(mortmth = as_factor(mortmth)) %>% 
  filter(!mortmth %in% c('Not stated', 'Not applicable')) %>% 
  mutate(mort_low = c(0, 1, 150, 300, 450, 600, 800, 1000, 1200, 1400, 1600, 1800, 2000, 2200, 2400, 2600, 3000, 4000, 5000)) %>%
  mutate(mortwk_low = mort_low/4) %>% 
  mutate(mort_high = c(0, 149, 299, 449, 599, 799, 999, 1199, 1399, 1599, 1799, 1999, 2199, 2399, 2599, 2999, 3999, 4999, 5999)) %>% 
  mutate(mortwk_high = mort_high/4) %>% 
  mutate(mort_mid = (mort_low + mort_high)/2) %>% 
  mutate(mortwk_mid = (mortwk_low + mortwk_high)/2) %>% 
  select(mortmth, mort_mid, mortwk_mid)
mortwk_mid 
```

##Joining

```{r}
#joining the data  ####
rent_join <- left_join(hhincwk_mid40, rent_hh)
rent_join <- left_join(rent_join, rentwk_mid)
rent_join

mort_join <- left_join(hhincwk_mid40, mort_hh)
mort_join <- left_join(mort_join, mortwk_mid)
mort_join
```

##Stress

```{r}
rentalstress <- rent_join %>% 
  mutate(prophousing = rent_mid/inc_mid) %>% 
  mutate(hstress = ifelse(prophousing <= 0.3, 0, hh)) %>% 
  group_by(sa2) %>% 
  summarise(lowinc_hh = sum(hh), hstress = sum(hstress))
rentalstress <- left_join(rentalstress, rent_dw, by = "sa2") %>% 
  select(sa2, dw, lowinc_hh, hstress) %>% 
  mutate(propstress = hstress/dw)
rentalstress

mortgagestress <- mort_join %>% 
  mutate(prophousing = mortwk_mid/inc_mid) %>% 
  mutate(hstress = ifelse(prophousing <= 0.3, 0, hh)) %>% 
  group_by(sa2) %>% 
  summarise(lowinc_hh = sum(hh), hstress = sum(hstress))
mortgagestress <- left_join(mortgagestress, mort_dw, by = "sa2") %>% 
  select(sa2, dw, lowinc_hh, hstress) %>% 
  mutate(propstress = hstress/dw)
mortgagestress 

housingstress_join <- full_join(rentalstress, mortgagestress)
housingstress_sa2 <- housingstress_join %>% 
  group_by(sa2) %>% 
  summarise(dw = sum(dw), lowinc_hh = sum(lowinc_hh), hstress = sum(hstress)) %>% 
  mutate(prop_stress = hstress/dw) %>% 
  filter(!is.na(prop_stress))
housingstress_sa2

write_csv(housingstress_sa2, "tables_out/housingstress_sa2.csv")

```

## What does it look like?

Most of the SA2s have fewer than 30 per cent of households in housing stress.

```{r}
ggplot(housingstress_sa2, aes(x = prop_stress)) +
  geom_histogram(bins = 50)
```


##The shapefile

```{r}
gm_shp <- st_read("shp/SA2_2016_GMEL.shp") %>% 
  clean_names() %>% 
  select(sa2_name16) %>% 
  left_join(housingstress_sa2, by = c("sa2_name16" = "sa2")) %>% 
  mutate(prop_stress = round(prop_stress, 2))
```

##The map

Concentrations in the growth areas.

```{r}
tmap_mode("view")

tm_shape(gm_shp) +
  tm_polygons("prop_stress")
```

